Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices
We study a Jacobi matrix J with complex numbers an, n belongs Z+, in the main diagonal such that r0 ≤ Im an ≤ r1, r0, r1 belongs Z+. We obtain an integral representation for the (generalized) spectral function of the matrix J. Themethod of our study is similar to Marchenko’s method for nonself-adjoi...
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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5696 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integral representations for spectral functions of some nonself-adjoint Jacobi matrices / S.M. Zagorodnyuk // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 91-100. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-5696 |
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dspace |
| spelling |
irk-123456789-56962010-02-03T12:01:10Z Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices Zagorodnyuk, S.M. We study a Jacobi matrix J with complex numbers an, n belongs Z+, in the main diagonal such that r0 ≤ Im an ≤ r1, r0, r1 belongs Z+. We obtain an integral representation for the (generalized) spectral function of the matrix J. Themethod of our study is similar to Marchenko’s method for nonself-adjoint differential operators. 2009 Article Integral representations for spectral functions of some nonself-adjoint Jacobi matrices / S.M. Zagorodnyuk // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 91-100. — Бібліогр.: 7 назв. — англ. 1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5696 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study a Jacobi matrix J with complex numbers an, n belongs Z+, in the main diagonal such that r0 ≤ Im an ≤ r1, r0, r1 belongs Z+. We obtain an integral representation for the (generalized) spectral function of the matrix J. Themethod of our study is similar to Marchenko’s method for nonself-adjoint differential operators. |
| format |
Article |
| author |
Zagorodnyuk, S.M. |
| spellingShingle |
Zagorodnyuk, S.M. Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| author_facet |
Zagorodnyuk, S.M. |
| author_sort |
Zagorodnyuk, S.M. |
| title |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_short |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_full |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_fullStr |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_full_unstemmed |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_sort |
integral representations for spectral functions of some nonself-adjoint jacobi matrices |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/5696 |
| citation_txt |
Integral representations for spectral functions of some nonself-adjoint Jacobi matrices / S.M. Zagorodnyuk // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 91-100. — Бібліогр.: 7 назв. — англ. |
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2023-03-24T08:34:10Z |
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2023-03-24T08:34:10Z |
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